Topology transitions and singularities in viscous flows.
Topology transitions and singularities in viscous flows.
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粘性流中的拓扑转变和奇点。
DOI：
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发表时间：
1993
影响因子：
8.6
通讯作者：
Michael J. Shelley
中科院分区：
文献类型：
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作者：
Raymond E. Goldstein;Raymond E. Goldstein;Adriana I. Pesci;Adriana I. Pesci;Michael J. Shelley
研究了Hele-Shaw流动中薄层边界的拓扑重构问题。通过对层的纵横比进行展开，系统地处理了边界界面的动力学问题，得到了局部厚度的非线性偏微分方程组。对于密度分层流体层和重力驱动的射流，二阶动力学的数值研究强烈地表明了界面在有限时间内的碰撞。在流体速度和界面的几何性质上都存在相关奇点
Topological reconfigurations of the boundaries of thin fluid layers in Hele-Shaw flow are studied. A systematic treatment of the dynamics of the bounding interfaces is developed through an expansion in the aspect ratio of the layer, yielding nonlinear partial differential equations for the local thickness. For both density-stratified fluid layers and gravity-driven jets, numerical study of the dynamics at second order suggests strongly the collision of the interfaces in finite time. There are associated singularities both in the fluid velocity and in geometric properties of the interfaces